Course content

Constraints and generalized coordinates. Virtual displacements, Lagange's equations. Variational calculus, Hamilton's principle. Lagrangian for particle in electromagnetic field. Constants of motion, symmetry properties. Virial theorem. Central forces, scattering. Elements of the kinematics and dynamics of rigid bodies. Special relativity. Normal coordinates. Hamilton's equations. Canonical transformations.

Learning outcome

Upon completion of this course, the student shall:
- Be able to explain the usage of symmetries and conservation laws in physical systems and also be able to use these in practical calculations. This includes rotating and oscillating systems.
- Be familiar with different problem-solving strategies within mechanical physics and assess which of these strategies that is most useful for a given problem.
- Understand the physical principle behind the derivation of Lagrange's and Hamilton's equations, in addition to the advantages with these formulations.
- Present the fundamental principles in the special theory of relativity and be able to use Lorentz-transformations in practical calculations.

Learning methods and activities

Lectures, calculation exercises and compulsory exercise. The lectures and exercises are in English when students who do not speak Norwegian take the course. If there is a re-sit examination, the examination form may be changed from written to oral.

Compulsory assignments

• Exercise

Recommended previous knowledge

Knowledge about basic point mechanics. Knowledge about basic parts of electromagnetic theory and special relativity an advantage.

Course materials

H. Goldstein, C. Poole and J. Safko: Classical Mechanics, 3. ed. 2002, plus compendium (in Norwegian).

Credit reductions